What is the answer to log_{11}(2x+6)=log_{11}(-x) ?

The answer to log_{11}(2x+6)=log_{11}(-x) is x=-2

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log_{11}(2x+6)=log_{11}(-x)

lo g_{11} (2 x + 6) = lo g_{11} (- x)

x = - 2

Solution steps

lo g_{11} (2 x + 6) = lo g_{11} (- x)

Apply log rules

2 x + 6 = - x

Solve

2 x + 6 = - x : x = - 2

x = - 2

Verify Solutions:

x = - 2

True

The solution is

x = - 2

x, 0 = lo g_{10} (2 x)

5 lo g_{10} (2 x) = 20

ln ((x - 1)^{2}) = 8

lo g_{9} (x) = 0.25

lo g_{6} (- x^{2} + 37 x) = 2

What is the answer to log_{11}(2x+6)=log_{11}(-x) ?
The answer to log_{11}(2x+6)=log_{11}(-x) is x=-2
Solve for x: log_{11}(2x+6)=log_{11}(-x)
The solution is x=-2